
Solve Quadratic Equations by Completing the Square

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a quadratic equation?
Back
A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
2.
FLASHCARD QUESTION
Front
What does it mean to complete the square?
Back
Completing the square is a method used to convert a quadratic equation into a perfect square trinomial, making it easier to solve.
3.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is ax² + bx + c = 0.
4.
FLASHCARD QUESTION
Front
What is a perfect square trinomial?
Back
A perfect square trinomial is an expression that can be factored into the square of a binomial, such as (x + p)² = x² + 2px + p².
5.
FLASHCARD QUESTION
Front
How do you complete the square for the equation x² + 6x?
Back
To complete the square, take half of the coefficient of x (which is 6), square it (9), and add it: x² + 6x + 9 = (x + 3)².
6.
FLASHCARD QUESTION
Front
What is the vertex form of a quadratic equation?
Back
The vertex form of a quadratic equation is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.
7.
FLASHCARD QUESTION
Front
How can you find the vertex of a parabola from the standard form?
Back
The vertex (h, k) can be found using h = -b/(2a) and k = f(h), where f(x) is the quadratic function.
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